46140480 has 168 divisors, whose sum is σ = 163369752. Its totient is φ = 11943936.

The previous prime is 46140469. The next prime is 46140487. The reversal of 46140480 is 8404164.

46140480 is a `hidden beast` number, since 4 + 614 + 0 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 41370624 = 2184^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (46140487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106344 + ... + 106776.

It is an arithmetic number, because the mean of its divisors is an integer number (972439).

Almost surely, 2^46140480 is an apocalyptic number.

46140480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81684876).

46140480 is an abundant number, since it is smaller than the sum of its proper divisors (117229272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46140480 is a wasteful number, since it uses less digits than its factorization.

46140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46140480 is about 6792.6784113485. The cubic root of 46140480 is about 358.6691603192.

It can be divided in two parts, 4 and 6140480, that added together give a square (6140484 = 2478²).

The spelling of 46140480 in words is "forty-six million, one hundred forty thousand, four hundred eighty".